B.1 A high performance racing plane is to have an aileron control rod made out of unidirectional carbon fibre tubing with the following material properties: elastic modulus E = 90 GPa and compressive failure stress OF,comp= 600 MPa. In order to avoid parts of the internal wing structure the control rod is required to have a bend at the tip as shown in the figure. The rod is L = 400 mm long with an inner diameter of 8 mm and an outer diameter of 10 mm. The length of the bent portion of the rod is = 40 mm. The servo applies a maximum compressive or tensile force of F= 200 N on one end of the control rod as shown in the diagram. The end at which the loading is applied can be considered to be free and the other end of the control rod can be considered to be fixed. Consider the case where the servo applies a compressive force on the tip of the control rod: (i) (ii) Find the maximum compressive stress in the rod and the maximum transverse deflection of the rod at B. X Find the maximum permissible length of the bent portion of the control rod 's' if a safety factor of 2.0 is required. onsider the case where the servo applies a tensile force on the tip of the ontrol rod. Using energy methods find: (iii) The horizontal deflection 'ux' of the rod at A. L F (Tensile or compressive) S
B.1 A high performance racing plane is to have an aileron control rod made out of unidirectional carbon fibre tubing with the following material properties: elastic modulus E = 90 GPa and compressive failure stress OF,comp= 600 MPa. In order to avoid parts of the internal wing structure the control rod is required to have a bend at the tip as shown in the figure. The rod is L = 400 mm long with an inner diameter of 8 mm and an outer diameter of 10 mm. The length of the bent portion of the rod is = 40 mm. The servo applies a maximum compressive or tensile force of F= 200 N on one end of the control rod as shown in the diagram. The end at which the loading is applied can be considered to be free and the other end of the control rod can be considered to be fixed. Consider the case where the servo applies a compressive force on the tip of the control rod: (i) (ii) Find the maximum compressive stress in the rod and the maximum transverse deflection of the rod at B. X Find the maximum permissible length of the bent portion of the control rod 's' if a safety factor of 2.0 is required. onsider the case where the servo applies a tensile force on the tip of the ontrol rod. Using energy methods find: (iii) The horizontal deflection 'ux' of the rod at A. L F (Tensile or compressive) S
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:B.1
A high performance racing plane is to have an aileron control rod made out
of unidirectional carbon fibre tubing with the following material properties:
elastic modulus E = 90 GPa and compressive failure stress F,comp
600 MPa. In order to avoid parts of the internal wing structure the control rod
is required to have a bend at the tip as shown in the figure. The rod is L =
400 mm long with an inner diameter of 8 mm and an outer diameter of
10 mm. The length of the bent portion of the rod is = 40 mm. The servo
applies a maximum compressive or tensile force of F= 200 N on one end
of the control rod as shown in the diagram. The end at which the loading is
applied can be considered to be free and the other end of the control rod
can be considered to be fixed.
Consider the case where the servo applies a compressive force on the tip
of the control rod:
(i)
(ii)
Find the maximum compressive stress in the rod and the
maximum transverse deflection of the rod at B.
Find the maximum permissible length of the bent portion of the
control rod 's' if a safety factor of 2.0 is required.
Consider the case where the servo applies a tensile force on the tip of the
control rod. Using energy methods find:
(iii) The horizontal deflection 'ux' of the rod at A.
T
=
L
F (Tensile or
compressive)
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